TSTP Solution File: GRP488-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP488-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:30:30 EDT 2022
% Result : Unsatisfiable 0.18s 0.43s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP488-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jun 13 08:44:07 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.34 29595: Facts:
% 0.11/0.34 29595: Id : 2, {_}:
% 0.11/0.34 double_divide ?2
% 0.11/0.34 (double_divide
% 0.11/0.34 (double_divide
% 0.11/0.34 (double_divide identity
% 0.11/0.34 (double_divide (double_divide ?2 identity)
% 0.11/0.34 (double_divide ?3 ?4))) ?3) identity)
% 0.11/0.34 =>=
% 0.11/0.34 ?4
% 0.11/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.11/0.34 29595: Id : 3, {_}:
% 0.11/0.34 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.11/0.34 [7, 6] by multiply ?6 ?7
% 0.11/0.34 29595: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.11/0.34 29595: Id : 5, {_}:
% 0.11/0.34 identity =<= double_divide ?11 (inverse ?11)
% 0.11/0.34 [11] by identity ?11
% 0.11/0.34 29595: Goal:
% 0.11/0.34 29595: Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.18/0.43 Statistics :
% 0.18/0.43 Max weight : 20
% 0.18/0.43 Found proof, 0.095943s
% 0.18/0.43 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.43 % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.43 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.18/0.43 Id : 2, {_}: double_divide ?2 (double_divide (double_divide (double_divide identity (double_divide (double_divide ?2 identity) (double_divide ?3 ?4))) ?3) identity) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.18/0.43 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.18/0.43 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.18/0.43 Id : 17, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.18/0.43 Id : 19, {_}: multiply identity ?50 =>= inverse (inverse ?50) [50] by Super 17 with 4 at 1,3
% 0.18/0.43 Id : 10, {_}: double_divide ?2 (multiply ?3 (double_divide identity (double_divide (double_divide ?2 identity) (double_divide ?3 ?4)))) =>= ?4 [4, 3, 2] by Demod 2 with 3 at 2,2
% 0.18/0.43 Id : 18, {_}: double_divide ?2 (multiply ?3 (double_divide identity (double_divide (inverse ?2) (double_divide ?3 ?4)))) =>= ?4 [4, 3, 2] by Demod 10 with 4 at 1,2,2,2,2
% 0.18/0.43 Id : 29, {_}: double_divide ?70 (inverse (inverse (double_divide identity (double_divide (inverse ?70) (double_divide identity ?71))))) =>= ?71 [71, 70] by Super 18 with 19 at 2,2
% 0.18/0.43 Id : 32, {_}: double_divide ?70 (inverse (multiply (double_divide (inverse ?70) (double_divide identity ?71)) identity)) =>= ?71 [71, 70] by Demod 29 with 17 at 1,2,2
% 0.18/0.43 Id : 23, {_}: double_divide ?59 (multiply ?60 (double_divide identity (double_divide (inverse ?59) identity))) =>= inverse ?60 [60, 59] by Super 18 with 5 at 2,2,2,2,2
% 0.18/0.43 Id : 172, {_}: double_divide ?385 (multiply ?386 (double_divide identity (inverse (inverse ?385)))) =>= inverse ?386 [386, 385] by Demod 23 with 4 at 2,2,2,2
% 0.18/0.43 Id : 64, {_}: multiply (inverse ?169) ?169 =>= inverse identity [169] by Super 17 with 5 at 1,3
% 0.18/0.43 Id : 65, {_}: multiply (multiply ?171 ?172) (double_divide ?172 ?171) =>= inverse identity [172, 171] by Super 64 with 17 at 1,2
% 0.18/0.43 Id : 191, {_}: double_divide ?428 (inverse identity) =<= inverse (multiply (inverse (inverse ?428)) identity) [428] by Super 172 with 65 at 2,2
% 0.18/0.43 Id : 192, {_}: double_divide (double_divide ?430 ?431) (inverse identity) =<= inverse (multiply (inverse (multiply ?431 ?430)) identity) [431, 430] by Super 191 with 17 at 1,1,1,3
% 0.18/0.43 Id : 174, {_}: double_divide ?392 (inverse (inverse (double_divide identity (inverse (inverse ?392))))) =>= inverse identity [392] by Super 172 with 19 at 2,2
% 0.18/0.43 Id : 180, {_}: double_divide ?392 (inverse (multiply (inverse (inverse ?392)) identity)) =>= inverse identity [392] by Demod 174 with 17 at 1,2,2
% 0.18/0.43 Id : 176, {_}: double_divide ?396 (inverse identity) =<= inverse (multiply (inverse (inverse ?396)) identity) [396] by Super 172 with 65 at 2,2
% 0.18/0.43 Id : 435, {_}: double_divide ?392 (double_divide ?392 (inverse identity)) =>= inverse identity [392] by Demod 180 with 176 at 2,2
% 0.18/0.43 Id : 439, {_}: double_divide ?952 (multiply (inverse ?952) (double_divide identity (inverse identity))) =>= inverse identity [952] by Super 18 with 435 at 2,2,2,2
% 0.18/0.43 Id : 503, {_}: double_divide ?1058 (multiply (inverse ?1058) identity) =>= inverse identity [1058] by Demod 439 with 5 at 2,2,2
% 0.18/0.43 Id : 24, {_}: multiply (inverse ?62) ?62 =>= inverse identity [62] by Super 17 with 5 at 1,3
% 0.18/0.43 Id : 507, {_}: double_divide identity (inverse identity) =>= inverse identity [] by Super 503 with 24 at 2,2
% 0.18/0.43 Id : 511, {_}: identity =<= inverse identity [] by Demod 507 with 5 at 2
% 0.18/0.43 Id : 525, {_}: double_divide (double_divide ?430 ?431) identity =<= inverse (multiply (inverse (multiply ?431 ?430)) identity) [431, 430] by Demod 192 with 511 at 2,2
% 0.18/0.43 Id : 535, {_}: inverse (double_divide ?430 ?431) =<= inverse (multiply (inverse (multiply ?431 ?430)) identity) [431, 430] by Demod 525 with 4 at 2
% 0.18/0.43 Id : 536, {_}: multiply ?431 ?430 =<= inverse (multiply (inverse (multiply ?431 ?430)) identity) [430, 431] by Demod 535 with 17 at 2
% 0.18/0.43 Id : 28, {_}: double_divide ?59 (multiply ?60 (double_divide identity (inverse (inverse ?59)))) =>= inverse ?60 [60, 59] by Demod 23 with 4 at 2,2,2,2
% 0.18/0.43 Id : 560, {_}: double_divide identity (multiply ?1072 (double_divide identity (inverse identity))) =>= inverse ?1072 [1072] by Super 28 with 511 at 1,2,2,2,2
% 0.18/0.43 Id : 587, {_}: double_divide identity (multiply ?1072 identity) =>= inverse ?1072 [1072] by Demod 560 with 5 at 2,2,2
% 0.18/0.43 Id : 643, {_}: multiply (multiply ?1203 identity) identity =>= inverse (inverse ?1203) [1203] by Super 17 with 587 at 1,3
% 0.18/0.43 Id : 733, {_}: double_divide identity (inverse (inverse ?1306)) =>= inverse (multiply ?1306 identity) [1306] by Super 587 with 643 at 2,2
% 0.18/0.43 Id : 522, {_}: double_divide ?396 identity =<= inverse (multiply (inverse (inverse ?396)) identity) [396] by Demod 176 with 511 at 2,2
% 0.18/0.43 Id : 538, {_}: inverse ?396 =<= inverse (multiply (inverse (inverse ?396)) identity) [396] by Demod 522 with 4 at 2
% 0.18/0.43 Id : 268, {_}: double_divide (double_divide ?605 ?606) (inverse identity) =<= inverse (multiply (inverse (multiply ?606 ?605)) identity) [606, 605] by Super 191 with 17 at 1,1,1,3
% 0.18/0.43 Id : 273, {_}: double_divide (double_divide identity (inverse (inverse ?620))) (inverse identity) =>= inverse (multiply (double_divide ?620 (inverse identity)) identity) [620] by Super 268 with 176 at 1,1,3
% 0.18/0.43 Id : 526, {_}: double_divide (double_divide identity (inverse (inverse ?620))) identity =>= inverse (multiply (double_divide ?620 (inverse identity)) identity) [620] by Demod 273 with 511 at 2,2
% 0.18/0.43 Id : 527, {_}: double_divide (double_divide identity (inverse (inverse ?620))) identity =>= inverse (multiply (double_divide ?620 identity) identity) [620] by Demod 526 with 511 at 2,1,1,3
% 0.18/0.43 Id : 532, {_}: inverse (double_divide identity (inverse (inverse ?620))) =>= inverse (multiply (double_divide ?620 identity) identity) [620] by Demod 527 with 4 at 2
% 0.18/0.43 Id : 533, {_}: inverse (double_divide identity (inverse (inverse ?620))) =>= inverse (multiply (inverse ?620) identity) [620] by Demod 532 with 4 at 1,1,3
% 0.18/0.43 Id : 534, {_}: multiply (inverse (inverse ?620)) identity =>= inverse (multiply (inverse ?620) identity) [620] by Demod 533 with 17 at 2
% 0.18/0.43 Id : 539, {_}: inverse ?396 =<= inverse (inverse (multiply (inverse ?396) identity)) [396] by Demod 538 with 534 at 1,3
% 0.18/0.43 Id : 737, {_}: double_divide identity (inverse (inverse ?1315)) =<= inverse (multiply (inverse (multiply (inverse ?1315) identity)) identity) [1315] by Super 733 with 539 at 1,2,2
% 0.18/0.43 Id : 689, {_}: double_divide identity (inverse (inverse ?1257)) =>= inverse (multiply ?1257 identity) [1257] by Super 587 with 643 at 2,2
% 0.18/0.43 Id : 762, {_}: inverse (multiply ?1315 identity) =<= inverse (multiply (inverse (multiply (inverse ?1315) identity)) identity) [1315] by Demod 737 with 689 at 2
% 0.18/0.43 Id : 763, {_}: inverse (multiply ?1315 identity) =<= multiply (inverse ?1315) identity [1315] by Demod 762 with 536 at 3
% 0.18/0.43 Id : 770, {_}: multiply ?431 ?430 =<= inverse (inverse (multiply (multiply ?431 ?430) identity)) [430, 431] by Demod 536 with 763 at 1,3
% 0.18/0.43 Id : 721, {_}: double_divide ?59 (multiply ?60 (inverse (multiply ?59 identity))) =>= inverse ?60 [60, 59] by Demod 28 with 689 at 2,2,2
% 0.18/0.43 Id : 464, {_}: double_divide ?952 (multiply (inverse ?952) identity) =>= inverse identity [952] by Demod 439 with 5 at 2,2,2
% 0.18/0.43 Id : 495, {_}: multiply (multiply (inverse ?1032) identity) ?1032 =>= inverse (inverse identity) [1032] by Super 17 with 464 at 1,3
% 0.18/0.43 Id : 882, {_}: multiply (inverse (multiply ?1032 identity)) ?1032 =>= inverse (inverse identity) [1032] by Demod 495 with 763 at 1,2
% 0.18/0.43 Id : 883, {_}: multiply (inverse (multiply ?1032 identity)) ?1032 =>= inverse identity [1032] by Demod 882 with 511 at 1,3
% 0.18/0.44 Id : 884, {_}: multiply (inverse (multiply ?1032 identity)) ?1032 =>= identity [1032] by Demod 883 with 511 at 3
% 0.18/0.44 Id : 894, {_}: double_divide ?1427 identity =<= inverse (inverse (multiply (inverse (multiply ?1427 identity)) identity)) [1427] by Super 721 with 884 at 2,2
% 0.18/0.44 Id : 932, {_}: inverse ?1427 =<= inverse (inverse (multiply (inverse (multiply ?1427 identity)) identity)) [1427] by Demod 894 with 4 at 2
% 0.18/0.44 Id : 933, {_}: inverse ?1427 =<= inverse (inverse (inverse (multiply (multiply ?1427 identity) identity))) [1427] by Demod 932 with 763 at 1,1,3
% 0.18/0.44 Id : 771, {_}: inverse ?396 =<= inverse (inverse (inverse (multiply ?396 identity))) [396] by Demod 539 with 763 at 1,1,3
% 0.18/0.44 Id : 934, {_}: inverse ?1427 =<= inverse (multiply ?1427 identity) [1427] by Demod 933 with 771 at 3
% 0.18/0.44 Id : 1072, {_}: multiply ?431 ?430 =<= inverse (inverse (multiply ?431 ?430)) [430, 431] by Demod 770 with 934 at 1,3
% 0.18/0.44 Id : 1092, {_}: multiply ?1580 identity =>= inverse (inverse ?1580) [1580] by Super 1072 with 934 at 1,3
% 0.18/0.44 Id : 1546, {_}: double_divide ?70 (inverse (inverse (inverse (double_divide (inverse ?70) (double_divide identity ?71))))) =>= ?71 [71, 70] by Demod 32 with 1092 at 1,2,2
% 0.18/0.44 Id : 1070, {_}: double_divide identity (inverse (inverse ?1257)) =>= inverse ?1257 [1257] by Demod 689 with 934 at 3
% 0.18/0.44 Id : 781, {_}: double_divide identity (inverse (multiply ?1342 identity)) =>= inverse (inverse ?1342) [1342] by Super 587 with 763 at 2,2
% 0.18/0.44 Id : 1073, {_}: double_divide identity (inverse ?1342) =>= inverse (inverse ?1342) [1342] by Demod 781 with 934 at 2,2
% 0.18/0.44 Id : 1076, {_}: inverse (inverse (inverse ?1257)) =>= inverse ?1257 [1257] by Demod 1070 with 1073 at 2
% 0.18/0.44 Id : 1547, {_}: double_divide ?70 (inverse (double_divide (inverse ?70) (double_divide identity ?71))) =>= ?71 [71, 70] by Demod 1546 with 1076 at 2,2
% 0.18/0.44 Id : 1548, {_}: double_divide ?70 (multiply (double_divide identity ?71) (inverse ?70)) =>= ?71 [71, 70] by Demod 1547 with 17 at 2,2
% 0.18/0.44 Id : 1071, {_}: double_divide ?59 (multiply ?60 (inverse ?59)) =>= inverse ?60 [60, 59] by Demod 721 with 934 at 2,2,2
% 0.18/0.44 Id : 1549, {_}: inverse (double_divide identity ?71) =>= ?71 [71] by Demod 1548 with 1071 at 2
% 0.18/0.44 Id : 1550, {_}: multiply ?71 identity =>= ?71 [71] by Demod 1549 with 17 at 2
% 0.18/0.44 Id : 1551, {_}: inverse (inverse ?71) =>= ?71 [71] by Demod 1550 with 1092 at 2
% 0.18/0.44 Id : 1556, {_}: multiply identity ?50 =>= ?50 [50] by Demod 19 with 1551 at 3
% 0.18/0.44 Id : 1582, {_}: a2 === a2 [] by Demod 1 with 1556 at 2
% 0.18/0.44 Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.18/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.44 29595: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.101188 using nrkbo
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